{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 06\n",
    "\n",
    "# 单位球体\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf526711-1a62-4104-876a-5ecffdf7a009",
   "metadata": {},
   "source": [
    "这段代码使用Matplotlib库绘制了一个球面的三维网格图。通过定义参数方程生成球体的$(x, y, z)$坐标，代码创建了一个以原点为中心、半径为$1$的球体并以网格形式展示其表面。具体过程如下：\n",
    "\n",
    "1. **定义参数空间**：首先生成参数$u$和$v$，分别在$[0, \\pi]$和$[0, 2\\pi]$区间内等间距分布，这两个参数用于控制球面上的点分布。$u$代表极角（从北极到南极的角度），$v$代表方位角（围绕垂直轴的角度）。\n",
    "\n",
    "2. **球面参数方程**：通过球面坐标公式，将参数$(u, v)$映射到三维空间中的$(x, y, z)$坐标，具体表达式为：\n",
    "   $$\n",
    "   x = \\sin(u) \\cdot \\sin(v)\n",
    "   $$\n",
    "   $$\n",
    "   y = \\sin(u) \\cdot \\cos(v)\n",
    "   $$\n",
    "   $$\n",
    "   z = \\cos(u)\n",
    "   $$\n",
    "   这里，$x$和$y$是由$u$和$v$的正弦和余弦组成的平面坐标，而$z$由$u$的余弦直接给出。因此，当$u$和$v$遍历其区间时，这些坐标在三维空间中形成一个球面。\n",
    "\n",
    "3. **绘制三维网格球面**：调用$plot\\_wireframe$函数在三维坐标轴上绘制球体的网格图，网格线展示了球体表面的曲率和对称性。\n",
    "\n",
    "4. **设置投影和视角**：将投影类型设置为正交投影，以确保图形不会有透视效果，使得球体在各个方向上比例一致。最后，将视角设置为方位角$-125$度和仰角$30$度，以便从一个较好的角度观察球体的三维结构。\n",
    "\n",
    "通过这些步骤，代码生成了一个直观的球面三维图形，展示了球体在三维空间中的几何形状，适合用于展示球体表面的特征和结构。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1396ea7-f8f4-4889-8693-8d525ed5e692",
   "metadata": {},
   "source": [
    "## 导入所需库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "497ea1ad-1dac-4f2f-81ba-1dafa64865b9",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np  # 导入numpy库，用于数值计算\n",
    "import matplotlib.pyplot as plt  # 导入matplotlib库，用于绘图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8009d801-5862-4377-85c8-df4f1e401006",
   "metadata": {},
   "source": [
    "## 定义参数网格"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1d4104c0-ce7e-4f1e-8460-e8e3eeec0a7a",
   "metadata": {},
   "outputs": [],
   "source": [
    "u = np.linspace(0, np.pi, 30)  # 生成从0到π的u参数，分30个点\n",
    "v = np.linspace(0, 2 * np.pi, 30)  # 生成从0到2π的v参数，分30个点"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c609622-bb09-49ac-a8b6-a61a3ee440c2",
   "metadata": {},
   "source": [
    "## 定义球面参数方程"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "397ce4fc-53c1-4763-a50f-46e62d63dd15",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.outer(np.sin(u), np.sin(v))  # 计算x坐标，使用球面坐标系\n",
    "y = np.outer(np.sin(u), np.cos(v))  # 计算y坐标\n",
    "z = np.outer(np.cos(u), np.ones_like(v))  # 计算z坐标"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4c011744-6168-4105-b7b2-6f7665bdd62c",
   "metadata": {},
   "source": [
    "## 创建图形"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3b46a35d-50a0-4124-b062-303b908438db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()  # 创建图形对象\n",
    "ax = plt.axes(projection='3d')  # 创建三维坐标轴对象\n",
    "ax.set_aspect('equal')  # 设置坐标轴比例为相等\n",
    "\n",
    "## 绘制球面网格线\n",
    "ax.plot_wireframe(x, y, z)  # 绘制三维球面网格线\n",
    "\n",
    "## 设置坐标轴标签\n",
    "ax.set_xlabel(r'$\\it{x_1}$')  # 设置x轴标签\n",
    "ax.set_ylabel(r'$\\it{x_2}$')  # 设置y轴标签\n",
    "ax.set_zlabel(r'$\\it{x_3}$')  # 设置z轴标签\n",
    "\n",
    "## 设置投影方式和视角\n",
    "ax.set_proj_type('ortho')  # 设置投影类型为正交投影\n",
    "ax.view_init(azim=-125, elev=30)  # 设置视角，方位角为-125度，仰角为30度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "85a80909-2aac-49ed-bb7a-f8cc6b80ee7d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ecd322f4-f919-4be2-adc3-69d28ef25e69",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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